$\mathop \smallint \limits_0^3 \,\,\left| {\,{x^3} + {x^2} + 3x\,} \right|\,\,\,dx$ is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int \limits_0^3 \,\,\left| {\,{x^3} + {x^2} + 3x\,} \right|\,\,\,dx

is equal to

View answer and explanation

Correct option: B

\frac{{171}}{4}

Option B (

\frac{{171}}{4}

) is correct because the integrand is positive over the interval [0, 3], and the integral evaluates to this value.

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